It is a 357 model. Those rifles prefer 357 ammo to 38s. They like the longer cases. I only shoot 357s in mine.
I mentioned it elsewhere, but it bears repeating... a cheaper alternative if you handload is to load .38 special brass but seat the bullet higher than factory loads so the overall cartridge length is longer, and pay attention to the bullet shape. Conical work best, and round nose FP second best. They are about 1/8" shorter than .357, but about 1/8" longer than typical .38 factory loads. Long enough to handle the longer gate geometry of the .357 models well. And you still get the full 10 round magazine capacity on a 20" barrel without having to modify anything.
The only two .38 Spec. factory loads I've found that work as well in the .357 92' I've got are MagTech Round Nose and Black Hills, both of which have longer bullets than average and seat the bullets high in the brass.